A297116 Odd bisection of A297115, Möbius transform of A000120 (binary weight of n).

1, 1, 1, 2, 0, 2, 2, 1, 1, 2, -1, 3, 1, 2, 3, 4, -2, -1, 2, 0, 2, 3, 0, 4, 0, 1, 3, 1, 0, 4, 4, 3, -2, 2, -2, 3, 2, -1, -1, 4, -1, 3, 1, 0, 3, 0, -1, 2, 2, 2, 3, 4, 0, 4, 4, 2, 3, 0, 1, 2, 2, 2, 3, 6, -3, 2, -2, -2, 2, 3, -2, 0, -2, 1, 3, 4, 0, -1, 4, 1, -3, 3, -1, 4, 1, 1, 4, 2, -2, 4, 4, 0, 1, 2, -2, 6, 2, 0, 3, 4, 0, -1, 1, 3, -1

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to binary expansion of n

Formula

a(n) = A297115(2n - 1).

Prog

(PARI)
A297115(n) = sumdiv(n, d, moebius(n/d)*hammingweight(d));
A297116(n) = A297115(n+n-1);

Crossrefs

Cf. A000120, A297115.

Sequence in context: A059581 A344319 A236998 * A163542 A061895 A129678

Adjacent sequences: A297113 A297114 A297115 * A297117 A297118 A297119

Keyword

sign

Author

Antti Karttunen, Dec 26 2017

Status

approved